Finite Group Databasebeta

← #29470440

Subgroups — #29470440

Order 15104.

1978 conjugacy classes of subgroups.

The subgroup lattice has 1776 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#21437703C211yesmaximal, characteristic, complemented
2#21437697C211yesmaximal, characteristic, complemented
3#21437179C211yesmaximal, characteristic, complemented
4#21437053C211yesmaximal, characteristic, complemented
5#21436854C211yesmaximal, characteristic, complemented
6#21436844C211yesmaximal, characteristic, complemented
7#21436695C211yesmaximal, characteristic, complemented
8#21436581C211yesmaximal, characteristic, complemented
9#21436579C211yesmaximal, characteristic, complemented
10#21436293C211yesmaximal, characteristic, complemented
11#21436292C211yesmaximal, characteristic, complemented
12#21436243C211yesmaximal, characteristic, complemented
13#21436179C211yesmaximal, characteristic, complemented
14#21436173C211yesmaximal, characteristic, complemented
15#21435707C211yesmaximal, characteristic, complemented
16#21435572C211yesmaximal, characteristic, complemented
17#21435569C211yesmaximal, characteristic, complemented
18#21434690C211yesmaximal, characteristic, complemented
19#21434686C211yesmaximal, characteristic, complemented
20#21434661C211yesmaximal, characteristic, complemented
21#21434140C211yesmaximal, characteristic, complemented
22#21434138C211yesmaximal, characteristic, complemented
23#21434119C211yesmaximal, characteristic, complemented
24#21434109C211yesmaximal, characteristic, complemented
25#21434095C211yesmaximal, characteristic, complemented
26#21434091C211yesmaximal, characteristic, complemented
27#21433056C211yesmaximal, characteristic, complemented
28#21432907C211yesmaximal, characteristic, complemented
29#21432900C211yesmaximal, characteristic, complemented
30C2×#16837482C211yesmaximal, characteristic, complemented
31C59×#3318C211yesmaximal, characteristic, complemented
32C2×#14273753C2211yescharacteristic
33C2×#14273751C2211yescharacteristic
34C22×#11745669C2211yescharacteristic
35#16838138C2211yescharacteristic, complemented
36#16838135C2211yescharacteristic, complemented
37#16838109C2211yescharacteristic, complemented
38#16838109C2211yescharacteristic, complemented
39#16838108C2211yescharacteristic, complemented
40#16838107C2211yescharacteristic, complemented
41#16838104—21no—
42#16838104C2211yescharacteristic
43#16838104C2211yescharacteristic, complemented
44#16838097—21no—
45#16838096C2211yescharacteristic, complemented
46#16838083—21no—
47#16838083—21no—
48#16838081—21no—
49#16838077—21no—
50#16838049C2211yescharacteristic, complemented
51#16838048C2211yescharacteristic
52#16838046—21no—
53#16838046C2211yescharacteristic
54#16838046C2211yescharacteristic, complemented
55#16838041—21no—
56#16838036C2211yescharacteristic, complemented
57#16837950C2211yescharacteristic, complemented
58#16837947C2211yescharacteristic, complemented
59#16837937C2211yescharacteristic, complemented
60#16837935—21no—
61#16837933—21no—
62#16837933C2211yescharacteristic, complemented
63#16837933C2211yescharacteristic, complemented
64#16837933C2211yescharacteristic, complemented
65#16837912—21no—
66#16837910—21no—
67#16837908—21no—
68#16837908—21no—
69#16837870C2211yescharacteristic, complemented
70C4×#11745687C2211yescharacteristic
71C4×#11745687C2211yescharacteristic, complemented
72C2×D4×Dic59—21no—
73C2×D4×Dic59C2211yescharacteristic, complemented
74C2×D4×Dic59C2211yescharacteristic, complemented
75C2×#14273689C2211yescharacteristic, complemented
76C4×D4×D59—21no—
77C4×D4×D59C2211yescharacteristic, complemented
78#16837812C2211yescharacteristic, complemented
79#16837809C2211yescharacteristic, complemented
80#16837803C2211yescharacteristic, complemented
81#16837790C2211yescharacteristic, complemented
82#16837789C2211yescharacteristic, complemented
83#16837785C2211yescharacteristic, complemented
84#16837765C2211yescharacteristic, complemented
85#16837762C2211yescharacteristic, complemented
86#16837760C2211yescharacteristic, complemented
87#16837755C2211yescharacteristic, complemented
88#16837755C2211yescharacteristic, complemented
89#16837746C2211yescharacteristic, complemented
90#16837743C2211yescharacteristic, complemented
91#16837738C2211yescharacteristic, complemented
92#16837737C2211yescharacteristic, complemented
93#16837729C2211yescharacteristic, complemented
94#16837718C2211yescharacteristic, complemented
95#16837716C2211yescharacteristic, complemented
96#16837714C2211yescharacteristic, complemented
97#16837714C2211yescharacteristic, complemented
98#16837713C2211yescharacteristic, complemented
99#16837712C2211yescharacteristic, complemented
100#16837706C2211yescharacteristic, complemented
101#16837705C2211yescharacteristic, complemented
102#16837701C2211yescharacteristic, complemented
103#16837701C2211yescharacteristic, complemented
104#16837700C2211yescharacteristic, complemented
105#16837700C2211yescharacteristic, complemented
106#16837683C2211yescharacteristic, complemented
107#16837682C2211yescharacteristic, complemented
108#16837680C2211yescharacteristic, complemented
109#16837680C2211yescharacteristic, complemented
110#16837654C2211yescharacteristic, complemented
111#16837654C2211yescharacteristic, complemented
112#16837653C2211yescharacteristic, complemented
113#16837648C2211yescharacteristic, complemented
114#16837647C2211yescharacteristic, complemented
115#16837647C2211yescharacteristic, complemented
116#16837646C2211yescharacteristic, complemented
117#16837643C2211yescharacteristic, complemented
118#16837629C2211yescharacteristic, complemented
119#16837629C2211yescharacteristic, complemented
120#16837625C2211yescharacteristic, complemented
121#16837623C2211yescharacteristic, complemented
122#16837617C2211yescharacteristic, complemented
123#16837616C2211yescharacteristic, complemented
124#16837616C2211yescharacteristic, complemented
125#16837616C2211yescharacteristic, complemented
126#16837615C2211yescharacteristic, complemented
127#16837615C2211yescharacteristic, complemented
128#16837595C2211yescharacteristic
129#16837595C2211yescharacteristic, complemented
130#16837594C2211yescharacteristic
131#16837566C2211yescharacteristic, complemented
132#16837565C2211yescharacteristic, complemented
133#16837555C2211yescharacteristic, complemented
134#16837553C2211yescharacteristic, complemented
135#16837548C2211yescharacteristic
136#16837545C2211yescharacteristic
137#16837536C2211yescharacteristic, complemented
138#16837535C2211yescharacteristic
139#16837534C2211yescharacteristic, complemented
140#16837534C2211yescharacteristic, complemented
141#16837531C2211yescharacteristic, complemented
142#16837530C2211yescharacteristic, complemented
143#16837512C2211yescharacteristic
144#16837511C2211yescharacteristic
145#16837511C2211yescharacteristic, complemented
146#16837504C2211yescharacteristic, complemented
147#16837502C2211yescharacteristic, complemented
148#16837499C2211yescharacteristic, complemented
149#16837499C2211yescharacteristic, complemented
150#16837496C2211yescharacteristic, complemented
151#16837493C2211yescharacteristic, complemented
152#16837493C2211yescharacteristic, complemented
153#16837493C2211yescharacteristic, complemented
154#16837493C2211yescharacteristic, complemented
155#16837489C2211yescharacteristic, complemented
156#16837489C2211yescharacteristic, complemented
157D8×Dic59C2211yescharacteristic, complemented
158D8×Dic59C2211yescharacteristic, complemented
159D8×Dic59C2211yescharacteristic, complemented
160#16837482C2211yescharacteristic
161#16837482C2211yescharacteristic
162#16837482C2211yescharacteristic, complemented
163#16837482C2211yescharacteristic, complemented
164#16837482C2211yescharacteristic, complemented
165#16837482C2211yescharacteristic, complemented
166#16837482C2211yescharacteristic, complemented
167#16837482C2211yescharacteristic, complemented
168#16837482C2211yescharacteristic, complemented
169#16837482C2211yescharacteristic, complemented
170#16837478C2211yescharacteristic, complemented
171#16837477C2211yescharacteristic, complemented
172#16837474C2211yescharacteristic, complemented
173#16837473C2211yescharacteristic, complemented
174#16837470C2211yescharacteristic, complemented
175#16837454C2211yescharacteristic, complemented
176#16837452C2211yescharacteristic, complemented
177#16837452C2211yescharacteristic, complemented
178#16837445C2211yescharacteristic, complemented
179#16837441C2211yescharacteristic, complemented
180C2×#14273660C2211yescharacteristic, complemented
181#16837405C2211yescharacteristic, complemented
182#16837404C2211yescharacteristic, complemented
183#16837400C2211yescharacteristic, complemented
184C2×#14273649C2211yescharacteristic, complemented
185#16837354C2211yescharacteristic, complemented
186M16×Dic59C2211yescharacteristic, complemented
187C2×C8×Dic59C2211yescharacteristic, complemented
188C59×#553C2211yescharacteristic
189D42×C59C2211yescharacteristic, complemented
190C59×#490C2211yescharacteristic, complemented
191C59×#482C2211yescharacteristic, complemented
192C59×#481C2211yescharacteristic, complemented
193C59×#478C2211yescharacteristic, complemented
194C59×#469C2211yescharacteristic, complemented
195C59×#466C2211yescharacteristic
196C59×#459C2211yescharacteristic, complemented
197C59×#447C2211yescharacteristic
198C59×#447C2211yescharacteristic, complemented
199C59×#442C2211yescharacteristic, complemented
200C59×#435C2211yescharacteristic, complemented
201C59×#418C2211yescharacteristic, complemented
202C2×#102×C59C2211yescharacteristic, complemented
203C2×#11745685C2311yescharacteristic
204C2×#11745687—21no—
205C2×#11745687—21no—
206C2×#11745687D411yescharacteristic
207C2×#11745687C2311yescharacteristic
208C22×D236C2311yescharacteristic
209C2×D4×D59—21no—
210C2×D4×D59C2311yescharacteristic
211C23×Dic59—21no—
212C23×Dic59—21no—
213C22×C4×D59—21no—
214C22×C4×D59—21no—
215#14273753—24no—
216#14273751—24no—
217C2×Dic236C2311yescharacteristic
218C2×#11745660C2311yescharacteristic
219C2×#11745660C2311yescharacteristic
220C2×#11745670C2311yescharacteristic
221C2×#11745670C2311yescharacteristic
222C2×#11745670C2311yescharacteristic
223C2×#11745670C2311yescharacteristic
224C2×#11745669—24no—
225C2×#11745669C2311yescharacteristic
226C2×#11745669C2311yescharacteristic
227C2×#11745669C2311yescharacteristic
228C2×#11745669C2311yescharacteristic
229C2×#11745669C2311yescharacteristic
230C2×#11745669C2311yescharacteristic
231C2×#11745664C2311yescharacteristic
232C2×#11745659C2311yescharacteristic
233C2×#11745659C2311yescharacteristic
234C22×C59⋊C8C2311yescharacteristic
235#14273727C2311yescharacteristic
236#14273726C2311yescharacteristic
237#14273723C2311yescharacteristic
238#14273722—21no—
239#14273721—21no—
240#14273720—21no—
241#14273720—21no—
242#14273720—21no—
243#14273720—21no—
244#14273720—21no—
245#14273718—21no—
246#14273718C2311yescharacteristic
247#14273718C2311yescharacteristic
248#14273718C2311yescharacteristic
249#14273717—21no—
250#14273715C2311yescharacteristic
251#14273714—21no—
252#14273714—21no—
253#14273714C2311yescharacteristic
254#14273714C2311yescharacteristic
255#14273714C2311yescharacteristic
256#14273713—21no—
257#14273713—21no—
258#14273712—21no—
259#14273712—21no—
260#14273711—21no—
261#14273711—21no—
262#14273710—21no—
263#14273709—21no—
264#14273709—21no—
265#14273709—21no—
266#14273708—21no—
267#14273708—21no—
268#14273708—21no—
269#14273708—21no—
270#14273708—21no—
271#14273708—21no—
272#14273708—21no—
273#14273707—21no—
274#14273707C2311yescharacteristic
275#14273706—21no—
276#14273706—21no—
277#14273706C2311yescharacteristic
278#14273706C2311yescharacteristic
279#14273706C2311yescharacteristic
280#14273705—21no—
281#14273705—21no—
282#14273705—21no—
283#14273704—21no—
284#14273704—21no—
285#14273704—21no—
286#14273704—21no—
287#14273702C2311yescharacteristic
288#14273701C2311yescharacteristic
289#14273700—21no—
290#14273700—21no—
291#14273700—21no—
292#14273699—21no—
293#14273699—21no—
294#14273699—21no—
295#14273699—21no—
296#14273699—21no—
297#14273698—21no—
298#14273698—21no—
299#14273698C2311yescharacteristic
300#14273698C2311yescharacteristic
301#14273697—21no—
302#14273696—21no—
303#14273696—21no—
304#14273695—21no—
305#14273695—21no—
306#14273695—21no—
307C4×Dic118C2311yescharacteristic
308C4×Dic118C2311yescharacteristic
309#14273692D411yescharacteristic
310#14273692C2311yescharacteristic
311#14273692C2311yescharacteristic
312#14273692C2311yescharacteristic
313C4×D236—21no—
314C4×D236C2311yescharacteristic
315D4×Dic59—21no—
316D4×Dic59—21no—
317D4×Dic59—21no—
318D4×Dic59—21no—
319D4×Dic59—21no—
320D4×Dic59—21no—
321D4×Dic59—21no—
322D4×Dic59—21no—
323D4×Dic59—21no—
324D4×Dic59—21no—
325D4×Dic59—21no—
326D4×Dic59—21no—
327D4×Dic59D411yescharacteristic
328D4×Dic59C2311yescharacteristic
329D4×Dic59C2311yescharacteristic
330D4×Dic59C2311yescharacteristic
331D4×Dic59C2311yescharacteristic
332D4×Dic59C2311yescharacteristic
333D4×Dic59C2311yescharacteristic
334D4×Dic59C2311yescharacteristic
335D4×Dic59C2311yescharacteristic
336#14273689—21no—
337#14273689—21no—
338#14273689—21no—
339#14273689C2311yescharacteristic
340#14273689C2311yescharacteristic
341#14273689C2311yescharacteristic
342#14273689C2311yescharacteristic
343#14273689C2311yescharacteristic
344C4×C22⋊D59—21no—
345C4×C22⋊D59—21no—
346C4×C22⋊D59—21no—
347C4×C22⋊D59—21no—
348C4×C22⋊D59C2311yescharacteristic
349C4×C22⋊D59C2311yescharacteristic
350(C22⋊D59)⋊C4—21no—
351(C22⋊D59)⋊C4—21no—
352(C22⋊D59)⋊C4—21no—
353(C22⋊D59)⋊C4—21no—
354(C22⋊D59)⋊C4—21no—
355(C22⋊D59)⋊C4D411yescharacteristic
356(C22⋊D59)⋊C4D411yescharacteristic
357#14273685—21no—
358#14273685D411yescharacteristic
359#14273685C2311yescharacteristic
360#14273684—21no—
361#14273683—21no—
362#14273683—21no—
363#14273683—21no—
364#14273683—21no—
365#14273683D411yescharacteristic
366#14273683D411yescharacteristic
367C2×C4⋊Dic59—21no—
368C2×C4⋊Dic59C2311yescharacteristic
369C2×C4⋊Dic59C2311yescharacteristic
370C4⋊C4×D59—21no—
371C4⋊C4×D59C2311yescharacteristic
372C2×C22⋊Dic59—21no—
373C2×C22⋊Dic59—21no—
374C2×C22⋊Dic59—21no—
375C2×C22⋊Dic59—21no—
376C2×(C2×D59)⋊C4—21no—
377C22⋊C4×D59—21no—
378C22⋊C4×D59—21no—
379C22⋊C4×D59—21no—
380C2×C4×Dic59—21no—
381C2×C4×Dic59C2311yescharacteristic
382C2×C4×Dic59C2311yescharacteristic
383C42×D59—21no—
384C42×D59C2311yescharacteristic
385#14273661C2311yescharacteristic
386#14273661C2311yescharacteristic
387#14273661C2311yescharacteristic
388#14273660C2311yescharacteristic
389#14273660C2311yescharacteristic
390#14273660C2311yescharacteristic
391#14273660C2311yescharacteristic
392#14273660C2311yescharacteristic
393#14273660C2311yescharacteristic
394#14273658C2311yescharacteristic
395#14273658C2311yescharacteristic
396#14273658C2311yescharacteristic
397#14273658C2311yescharacteristic
398C4⋊(C59⋊C8)C2311yescharacteristic
399Dic59⋊C8C2311yescharacteristic
400Dic59⋊C8C2311yescharacteristic
401Dic59⋊C8C2311yescharacteristic
402Dic59⋊C8C2311yescharacteristic
403#14273652C2311yescharacteristic
404#14273652C2311yescharacteristic
405#14273652C2311yescharacteristic
406#14273652C2311yescharacteristic
407#14273650C2311yescharacteristic
408#14273650C2311yescharacteristic
409#14273650C2311yescharacteristic
410#14273650C2311yescharacteristic
411#14273649C2311yescharacteristic
412#14273649C2311yescharacteristic
413#14273649C2311yescharacteristic
414#14273649C2311yescharacteristic
415#14273649C2311yescharacteristic
416#14273649C2311yescharacteristic
417#14273648C2311yescharacteristic
418#14273648C2311yescharacteristic
419#14273648C2311yescharacteristic
420#14273648C2311yescharacteristic
421#14273648C2311yescharacteristic
422#14273648C2311yescharacteristic
423#14273647C2311yescharacteristic
424#14273647C2311yescharacteristic
425C22⋊(C59⋊C8)C2311yescharacteristic
426C22⋊(C59⋊C8)C2311yescharacteristic
427(C2×D59)⋊C8C2311yescharacteristic
428(C2×D59)⋊C8C2311yescharacteristic
429#14273638C2311yescharacteristic
430#14273637C2311yescharacteristic
431#14273637C2311yescharacteristic
432C8×Dic59C2311yescharacteristic
433C8×Dic59C2311yescharacteristic
434C8×Dic59C2311yescharacteristic
435C8×Dic59C2311yescharacteristic
436C8×Dic59C2311yescharacteristic
437C8×Dic59C2311yescharacteristic
438C22×D4×C59—21no—
439C22×D4×C59C2311yescharacteristic
440C22×D4×C59C2311yescharacteristic
441C2×D8×C59C2311yescharacteristic
442C2×D8×C59C2311yescharacteristic
443C2×D8×C59C2311yescharacteristic
444C2×M16×C59C2311yescharacteristic
445C22×C8×C59C2311yescharacteristic
446#127×C59C2311yescharacteristic
447#126×C59—21no—
448#125×C59C2311yescharacteristic
449#123×C59—21no—
450#121×C59—21no—
451#121×C59—21no—
452#121×C59C2311yescharacteristic
453#121×C59C2311yescharacteristic
454#121×C59C2311yescharacteristic
455#121×C59C2311yescharacteristic
456#120×C59—21no—
457#120×C59—21no—
458C4×D4×C59—21no—
459C4×D4×C59C2311yescharacteristic
460C4×D4×C59C2311yescharacteristic
461C4×D4×C59C2311yescharacteristic
462#117×C59C2311yescharacteristic
463C2×C4⋊C4×C59C2311yescharacteristic
464#107×C59C2311yescharacteristic
465#106×C59C2311yescharacteristic
466#106×C59C2311yescharacteristic
467C4⋊C8×C59C2311yescharacteristic
468#102×C59C2311yescharacteristic
469#102×C59C2311yescharacteristic
470#102×C59C2311yescharacteristic
471#102×C59C2311yescharacteristic
472#102×C59C2311yescharacteristic
473#102×C59C2311yescharacteristic
474#102×C59C2311yescharacteristic
475#102×C59C2311yescharacteristic
476#102×C59C2311yescharacteristic
477#102×C59C2311yescharacteristic
478C22⋊C8×C59C2311yescharacteristic
479C22⋊C8×C59C2311yescharacteristic
480#97×C59C2311yescharacteristic
481C24×C59—21no—
482C24×C59—21no—
483C23×D59—21no—
484C23×D59—21no—
485C2×D4×C59—22no—
486C2×D4×C59—22no—
487C2×D4×C59—21no—
488C2×D4×C59—21no—
489C2×D4×C59—21no—
490C2×D4×C59—21no—
491C2×D4×C59—21no—
492C2×D4×C59—21no—
493C2×D4×C59—21no—
494C2×D4×C59—21no—
495C2×D4×C59—41no—
496C2×D4×C59—41no—
497C2×D4×C59—44no—
498C2×D4×C59C2×D411yescharacteristic
499C2×D4×C59C2411yescharacteristic
500C2×D4×C59C2411yescharacteristic
501C2×D4×C59C2411yescharacteristic
502C2×D4×C59C2411yescharacteristic
503C22×C4×C59—21no—
504C22×C4×C59—21no—
505C22×C4×C59—21no—
506C22×C4×C59C2411yescharacteristic
507C22×C4×C59C2411yescharacteristic
508C2×C22⋊D59—21no—
509C2×C22⋊D59—21no—
510C2×C22⋊D59—21no—
511C2×C22⋊D59—21no—
512C2×C22⋊D59—21no—
513C2×C22⋊D59—21no—
514C2×C22⋊D59—21no—
515C2×C22⋊D59—21no—
516C2×C22⋊D59C2×D411yescharacteristic
517C2×C22⋊D59C2×D411yescharacteristic
518C22×Dic59—21no—
519C22×Dic59—21no—
520C22×Dic59—21no—
521C22×Dic59—21no—
522C22×Dic59—21no—
523C22×Dic59—21no—
524C22×Dic59—21no—
525C22×Dic59—21no—
526C22×Dic59—21no—
527C22×Dic59—21no—
528C22×Dic59—21no—
529C22×Dic59—82no—
530C22×Dic59—82no—
531C22×Dic59C2×D411yescharacteristic
532C22×Dic59C2×D411yescharacteristic
533C22×Dic59C2×D411yescharacteristic
534C22×Dic59C2×D411yescharacteristic
535#11745687—22no—
536#11745687—41no—
537#11745687—42no—
538#11745687—82no—
539#11745687—82no—
540D4×D59—22no—
541D4×D59—41no—
542D4×D59—44no—
543#11745685—22no—
544#11745685—41no—
545C2×D236—22no—
546C2×D236—21no—
547C2×D236—21no—
548C2×D236—41no—
549C2×D236C2411yescharacteristic
550C2×D236C2411yescharacteristic
551C2×C4×D59—21no—
552C2×C4×D59—21no—
553C2×C4×D59—21no—
554C2×C4×D59—21no—
555C2×C4×D59—21no—
556C2×C4×D59—21no—
557C2×C4×D59—21no—
558C2×C4×D59—21no—
559C2×C4×D59—82no—
560C2×C4×D59—82no—
561C2×C4×D59C2×D411yescharacteristic
562C2×C4×D59C2×D411yescharacteristic
563C2×C4×D59C2411yescharacteristic
564C2×Dic118—21no—
565C2×Dic118—21no—
566C2×Dic118C2×D411yescharacteristic
567C2×Dic118C2411yescharacteristic
568C2×Dic118C2411yescharacteristic
569D8×C59—22no—
570D8×C59—41no—
571D8×C59—41no—
572M16×C59—41no—
573C2×C8×C59—41no—
574C2×C8×C59C2411yescharacteristic
575C2×C8×C59C2411yescharacteristic
576C2×C8×C59C2411yescharacteristic
577C2×C8×C59C2411yescharacteristic
578C4⋊C4×C59—21no—
579C4⋊C4×C59—21no—
580C4⋊C4×C59—21no—
581C4⋊C4×C59C2×D411yescharacteristic
582C4⋊C4×C59C2411yescharacteristic
583C4⋊C4×C59C2411yescharacteristic
584C4⋊C4×C59C2411yescharacteristic
585C4⋊C4×C59C2411yescharacteristic
586C22⋊C4×C59—21no—
587C22⋊C4×C59—21no—
588C22⋊C4×C59—21no—
589C22⋊C4×C59—21no—
590C22⋊C4×C59—21no—
591C22⋊C4×C59—21no—
592C22⋊C4×C59—21no—
593C22⋊C4×C59C2×D411yescharacteristic
594C22⋊C4×C59C2×D411yescharacteristic
595C42×C59—21no—
596C42×C59C2411yescharacteristic
597C22⋊Dic59—21no—
598C22⋊Dic59—21no—
599C22⋊Dic59—21no—
600C22⋊Dic59—21no—
601C22⋊Dic59—21no—
602C22⋊Dic59—21no—
603C22⋊Dic59—21no—
604C22⋊Dic59—21no—
605C22⋊Dic59—21no—
606C22⋊Dic59—21no—
607C22⋊Dic59—21no—
608C22⋊Dic59—21no—
609C22⋊Dic59—21no—
610C22⋊Dic59—21no—
611C22⋊Dic59—21no—
612C22⋊Dic59—21no—
613C22⋊Dic59—21no—
614C22⋊Dic59—21no—
615C22⋊Dic59—21no—
616C22⋊Dic59C2×D411yescharacteristic
617C22⋊Dic59C2×D411yescharacteristic
618#11745670—22no—
619#11745670—22no—
620#11745670—22no—
621#11745670—41no—
622#11745669—22no—
623#11745669—22no—
624#11745669—22no—
625#11745669—22no—
626#11745669—41no—
627#11745669#4114yescomplemented
628(C2×D59)⋊C4—21no—
629(C2×D59)⋊C4—21no—
630(C2×D59)⋊C4—21no—
631(C2×D59)⋊C4—21no—
632(C2×D59)⋊C4—21no—
633(C2×D59)⋊C4—21no—
634(C2×D59)⋊C4—21no—
635(C2×D59)⋊C4—21no—
636(C2×D59)⋊C4—21no—
637(C2×D59)⋊C4—21no—
638(C2×D59)⋊C4—21no—
639(C2×D59)⋊C4—21no—
640(C2×D59)⋊C4C2×D411yescharacteristic
641(C2×D59)⋊C4C2×D411yescharacteristic
642C4⋊Dic59—21no—
643C4⋊Dic59—21no—
644C4⋊Dic59—21no—
645C4⋊Dic59—21no—
646C4⋊Dic59—21no—
647C4⋊Dic59—21no—
648C4⋊Dic59—21no—
649C4⋊Dic59C2×D411yescharacteristic
650C4⋊Dic59C2411yescharacteristic
651C4⋊Dic59C2411yescharacteristic
652C4⋊Dic59C2411yescharacteristic
653C4⋊Dic59C2411yescharacteristic
654Dic59⋊C4—21no—
655Dic59⋊C4—21no—
656Dic59⋊C4—21no—
657Dic59⋊C4—21no—
658Dic59⋊C4—21no—
659Dic59⋊C4—21no—
660Dic59⋊C4—21no—
661Dic59⋊C4—21no—
662Dic59⋊C4—21no—
663Dic59⋊C4—21no—
664Dic59⋊C4—21no—
665Dic59⋊C4—21no—
666Dic59⋊C4C2×D411yescharacteristic
667Dic59⋊C4C2×D411yescharacteristic
668Dic59⋊C4C2×D411yescharacteristic
669Dic59⋊C4C2×D411yescharacteristic
670C4×Dic59—21no—
671C4×Dic59—21no—
672C4×Dic59—21no—
673C4×Dic59—21no—
674C4×Dic59—21no—
675C4×Dic59C2×D411yescharacteristic
676C4×Dic59C2×D411yescharacteristic
677C4×Dic59C2×D411yescharacteristic
678C4×Dic59C2×D411yescharacteristic
679C4×Dic59C2×D411yescharacteristic
680C4×Dic59C2×D411yescharacteristic
681C4×Dic59C2411yescharacteristic
682C4×Dic59C2411yescharacteristic
683C4×Dic59C2411yescharacteristic
684#11745664—22no—
685C2×C59⋊C8—22no—
686C2×C59⋊C8C2411yescharacteristic
687C2×C59⋊C8C2411yescharacteristic
688C2×C59⋊C8C2411yescharacteristic
689C2×C59⋊C8C2411yescharacteristic
690Dic236—41no—
691#11745660—22no—
692#11745660—41no—
693#11745659—22no—
694#11745659—41no—
695C23×C59—21no—
696C23×C59—21no—
697C23×C59—21no—
698C23×C59—21no—
699C23×C59—42no—
700C23×C59—42no—
701C23×C59—42no—
702C23×C59—42no—
703C23×C59—81no—
704C23×C59—81no—
705C23×C59C22×D411yescharacteristic
706C23×C59C22×D411yescharacteristic
707C22×D59—21no—
708C22×D59—21no—
709C22×D59—42no—
710C22×D59—42no—
711C22×D59—42no—
712C22×D59—42no—
713C22×D59—81no—
714C22×D59—81no—
715C22×D59C22×D411yescharacteristic
716D4×C59—22no—
717D4×C59—21no—
718D4×C59—21no—
719D4×C59—21no—
720D4×C59—21no—
721D4×C59—21no—
722D4×C59—21no—
723D4×C59—21no—
724D4×C59—42no—
725D4×C59—42no—
726D4×C59—42no—
727D4×C59—42no—
728D4×C59—42no—
729D4×C59—42no—
730D4×C59—81no—
731D4×C59—81no—
732D4×C59C2×#4112yes—
733C2×C4×C59—21no—
734C2×C4×C59—21no—
735C2×C4×C59—21no—
736C2×C4×C59—21no—
737C2×C4×C59—21no—
738C2×C4×C59—21no—
739C2×C4×C59—21no—
740C2×C4×C59—21no—
741C2×C4×C59—42no—
742C2×C4×C59—81no—
743C2×C4×C59—81no—
744C2×C4×C59C22×D411yescharacteristic
745C2×C4×C59C22×D411yescharacteristic
746C2×C4×C59C22×D411yescharacteristic
747C2×C4×C59C22×D411yescharacteristic
748C2×C4×C59C2511yescharacteristic
749C22⋊D59—22no—
750C22⋊D59—41no—
751C22⋊D59—42no—
752C22⋊D59—42no—
753C22⋊D59—42no—
754C22⋊D59—42no—
755C22⋊D59—81no—
756C22⋊D59—81no—
757C22⋊D59—81no—
758C22⋊D59—81no—
759C2×Dic59—22no—
760C2×Dic59—22no—
761C2×Dic59—22no—
762C2×Dic59—21no—
763C2×Dic59—21no—
764C2×Dic59—21no—
765C2×Dic59—21no—
766C2×Dic59—21no—
767C2×Dic59—21no—
768C2×Dic59—41no—
769C2×Dic59—42no—
770C2×Dic59—42no—
771C2×Dic59—42no—
772C2×Dic59—42no—
773C2×Dic59—42no—
774C2×Dic59—81no—
775C2×Dic59—81no—
776C2×Dic59—81no—
777C2×Dic59—81no—
778C2×Dic59—81no—
779C2×Dic59—81no—
780C2×Dic59C22×D411yescharacteristic
781C2×Dic59C22×D411yescharacteristic
782C2×Dic59C22×D411yescharacteristic
783C2×Dic59C22×D411yescharacteristic
784C2×Dic59C22×D411yescharacteristic
785C2×Dic59C22×D411yescharacteristic
786C2×Dic59C22×D411yescharacteristic
787D236—21no—
788D236—21no—
789D236—21no—
790D236—42no—
791D236—42no—
792D236C2×#4112yes—
793C4×D59—21no—
794C4×D59—21no—
795C4×D59—22no—
796C4×D59—41no—
797C4×D59—42no—
798C4×D59—42no—
799C4×D59—42no—
800C4×D59—42no—
801C4×D59—81no—
802C4×D59—81no—
803C4×D59—81no—
804C4×D59—81no—
805Dic118—21no—
806Dic118—21no—
807Dic118—21no—
808Dic118—21no—
809Dic118—41no—
810Dic118—81no—
811Dic118—81no—
812C8×C59—21no—
813C8×C59—21no—
814C8×C59—21no—
815C8×C59—21no—
816C59⋊C8—21no—
817C59⋊C8—21no—
818C59⋊C8—21no—
819C59⋊C8C2×#4112yes—
820#61444—591nomaximal, Sylow
821C22×C59—21no—
822C22×C59—21no—
823C22×C59—22no—
824C22×C59—21no—
825C22×C59—21no—
826C22×C59—21no—
827C22×C59—41no—
828C22×C59—41no—
829C22×C59—41no—
830C22×C59—41no—
831C22×C59—41no—
832C22×C59—41no—
833C22×C59—41no—
834C22×C59—41no—
835C22×C59—41no—
836C22×C59—41no—
837C22×C59—41no—
838C22×C59—84no—
839C22×C59—84no—
840C22×C59#57512yes—
841C22×C59C23×D411yescharacteristic
842C2×D59—21no—
843C2×D59—22no—
844C2×D59—21no—
845C2×D59—21no—
846C2×D59—41no—
847C2×D59—41no—
848C2×D59—41no—
849C2×D59—41no—
850C2×D59—41no—
851C2×D59—84no—
852C2×D59—84no—
853C4×C59—21no—
854C4×C59—21no—
855C4×C59—21no—
856C4×C59—21no—
857C4×C59—41no—
858C4×C59—41no—
859C4×C59—41no—
860C4×C59—41no—
861C4×C59C22×#4111yescharacteristic
862C4×C59#58511yescharacteristic
863Dic59—21no—
864Dic59—21no—
865Dic59—21no—
866Dic59—21no—
867Dic59—21no—
868Dic59—21no—
869Dic59—41no—
870Dic59—41no—
871Dic59—41no—
872Dic59—41no—
873Dic59—41no—
874Dic59—41no—
875Dic59#57612yes—
876#3481—591no—
877#3481—591no—
878#3403—591no—
879#3389—591no—
880#3370—591no—
881#3370—591no—
882#3355—591no—
883#3346—591no—
884#3346—591no—
885#3322—591no—
886#3322—591no—
887#3318—591no—
888#3318D5911yescharacteristic, complemented
889#3314—591no—
890#3314—591no—
891#3273—591no—
892#3264—591no—
893#3264—591no—
894#3171—591no—
895#3171—591no—
896#3168—591no—
897#3105—591no—
898#3105—591no—
899#3102—591no—
900#3102—591no—
901#3100—591no—
902#3100—591no—
903#2965—591no—
904C4×AGL(1,ℤ/8)—591no—
905C4×AGL(1,ℤ/8)—591no—
906C2×C4×D8—591no—
907C2×C59—22no—
908C2×C59—41no—
909C2×C59—42no—
910C2×C59—81no—
911C2×C59—81no—
912C2×C59—81no—
913C2×C59D4×#4111yescharacteristic
914C2×C59C2×#57511yescharacteristic
915C2×C59C2×#57611yescharacteristic
916D59—41no—
917D59—42no—
918D59—81no—
919C2×AGL(1,ℤ/8)—591no—
920C2×AGL(1,ℤ/8)—591no—
921C22×D8—591no—
922#559—591no—
923#559—591no—
924#554—591no—
925#554—591no—
926#554—591no—
927#554—591no—
928#553—591no—
929#553—591no—
930#553—591no—
931#553—1181no—
932#553—1181no—
933#553C2×D5911yescharacteristic
934#551—1181no—
935#551—1181no—
936#551—1181no—
937#551—1181no—
938#546—591no—
939#546—591no—
940#546—591no—
941#546—591no—
942#546—1181no—
943#546—1181no—
944D42—591no—
945D42C2×D5911yescharacteristic, complemented
946#532—591no—
947#532—591no—
948#529—591no—
949#529—591no—
950#529—591no—
951#529—591no—
952#529—1181no—
953#529—1181no—
954#525—1181no—
955#525—1181no—
956#525—1181no—
957#525—1181no—
958C4×#41—591no—
959C4×#41—591no—
960C4×#41—591no—
961C2×C4×D4—591no—
962C2×C4×D4—591no—
963C2×C4×D4—591no—
964C2×C4×D4—591no—
965C2×C4×D4—1181no—
966C2×C4×D4—1181no—
967#501—591no—
968#501—591no—
969#499—591no—
970#496—591no—
971#496—591no—
972#495—591no—
973#490—591no—
974#490C2×D5911yescharacteristic, complemented
975#489—591no—
976#489—591no—
977#488—591no—
978#488—591no—
979#485—591no—
980#485—591no—
981#484—591no—
982#484—591no—
983#482—591no—
984#482C2×D5911yescharacteristic, complemented
985#481—591no—
986#481C2×D5911yescharacteristic, complemented
987#480—591no—
988#480—591no—
989#480—591no—
990#480—591no—
991#479—591no—
992#479—591no—
993#478—591no—
994#478—591no—
995#478—591no—
996#478—591no—
997#478—591no—
998#478C2×D5911yescharacteristic, complemented
999#474—591no—
1000#474—591no—
1001#474—591no—
1002#474—591no—
1003#469—591no—
1004#469—591no—
1005#469—591no—
1006#469C2×D5911yescharacteristic, complemented
1007#468—591no—
1008#468—591no—
1009#468—591no—
1010#468—591no—
1011#467—591no—
1012#466C2×D5911yescharacteristic
1013#465—591no—
1014#465—591no—
1015#464—591no—
1016#464—591no—
1017#463—591no—
1018#463—591no—
1019#463—591no—
1020#463—591no—
1021#463—591no—
1022#463—591no—
1023#459—591no—
1024#459—591no—
1025#459—591no—
1026#459C2×D5911yescharacteristic, complemented
1027#452—591no—
1028#452—591no—
1029#450—591no—
1030#450—591no—
1031#449—591no—
1032#449—591no—
1033#447—591no—
1034#447—591no—
1035#447—591no—
1036#447—591no—
1037#447C2×D5911yescharacteristic
1038#447C2×D5911yescharacteristic, complemented
1039#446—591no—
1040#446—591no—
1041#442—591no—
1042#442—591no—
1043#442—591no—
1044#442C2×D5911yescharacteristic, complemented
1045#440—591no—
1046#440—591no—
1047#440—591no—
1048#440—591no—
1049C4×Q16—591no—
1050C4×SD16—591no—
1051C4×SD16—591no—
1052C4×SD16—591no—
1053C4×SD16—591no—
1054C4×SD16—591no—
1055C4×SD16—591no—
1056C4×D8—591no—
1057C4×D8—591no—
1058C4×D8—591no—
1059C4×D8—591no—
1060C4×D8—591no—
1061C4×D8—591no—
1062C4×D8—591no—
1063C4×D8—591no—
1064C4×D8—591no—
1065C4×D8—591no—
1066C4×D8—591no—
1067C4×D8—591no—
1068C4×D8—591no—
1069#436—591no—
1070#436—591no—
1071#435—591no—
1072#435—591no—
1073#435—591no—
1074#435C2×D5911yescharacteristic, complemented
1075#431—591no—
1076#431—591no—
1077#431—591no—
1078#428—591no—
1079#428—591no—
1080C2×#107—591no—
1081#418—591no—
1082#418C2×D5911yescharacteristic, complemented
1083#417—591no—
1084#417—591no—
1085C2×#102—591no—
1086C2×#102C2×D5911yescharacteristic, complemented
1087C4×M16—591no—
1088C4×M16—591no—
1089C2×C4×C8—591no—
1090C59#6144411yescharacteristic, complemented, Sylow
1091C2×#41—591no—
1092C2×#41—591no—
1093C2×#41—591no—
1094C2×#41—1181no—
1095C2×#41—1181no—
1096C22×D4—21no—
1097C22×D4—591no—
1098C22×D4—591no—
1099C22×D4—1181no—
1100C22×D4C22×D5911yescharacteristic
1101C22×D4C22×D5911yescharacteristic
1102C23×C4—1181no—
1103C23×C4—1181no—
1104C23×C4—1181no—
1105C23×C4—1181no—
1106AGL(1,ℤ/8)—1184no—
1107AGL(1,ℤ/8)—1184no—
1108C2×Q16—591no—
1109C2×SD16—591no—
1110C2×SD16—591no—
1111C2×SD16—591no—
1112C2×SD16—591no—
1113C2×SD16—591no—
1114C2×SD16—591no—
1115C2×D8—591no—
1116C2×D8—591no—
1117C2×D8—591no—
1118C2×D8—591no—
1119C2×D8—591no—
1120C2×D8—591no—
1121C2×D8—1184no—
1122C2×D8C22×D5911yescharacteristic
1123C2×D8C22×D5911yescharacteristic
1124C2×D8C22×D5911yescharacteristic
1125C2×M16—591no—
1126C2×M16—591no—
1127C2×M16—591no—
1128C2×M16C22×D5911yescharacteristic
1129C22×C8—591no—
1130C22×C8C22×D5911yescharacteristic
1131C4⋊Q8—591no—
1132C4⋊Q8—591no—
1133#127—591no—
1134#127C22×D5911yescharacteristic
1135#126—21no—
1136#126—1181no—
1137#126—1181no—
1138#126—1181no—
1139#126—1181no—
1140#126—1181no—
1141#126—1181no—
1142#126—1181no—
1143#125—591no—
1144#125—591no—
1145#125—591no—
1146#125—1181no—
1147#125—1181no—
1148#125C22×D5911yescharacteristic
1149#124—591no—
1150#124—591no—
1151#124—591no—
1152#124—591no—
1153#124—1181no—
1154#124—1181no—
1155#124—1181no—
1156#124—1181no—
1157#123—21no—
1158#123—1181no—
1159#123—1181no—
1160#123—1181no—
1161#123—1181no—
1162#123—1181no—
1163#123—1181no—
1164#123—1181no—
1165#123—1181no—
1166#123—1181no—
1167#123—1181no—
1168#123—1181no—
1169#123—1181no—
1170#123—1181no—
1171#123—1181no—
1172#123—1181no—
1173C22⋊Q8—591no—
1174C22⋊Q8—591no—
1175C22⋊Q8—591no—
1176C22⋊Q8—591no—
1177C22⋊Q8—1181no—
1178C22⋊Q8—1181no—
1179C22⋊Q8—1181no—
1180C22⋊Q8—1181no—
1181C22⋊Q8—1181no—
1182C22⋊Q8—1181no—
1183C22⋊Q8—1181no—
1184C22⋊Q8—1181no—
1185C22⋊Q8—1181no—
1186C22⋊Q8—1181no—
1187#121—21no—
1188#121—21no—
1189#121—591no—
1190#121—591no—
1191#121—591no—
1192#121—591no—
1193#121—1181no—
1194#121—1181no—
1195#121—1181no—
1196#121—1181no—
1197#121—1181no—
1198#121—1181no—
1199#121—1181no—
1200#121—1181no—
1201#121—1181no—
1202#121—1181no—
1203#121C22×D5911yescharacteristic
1204#121C22×D5911yescharacteristic
1205#121C22×D5911yescharacteristic
1206#121C22×D5911yescharacteristic
1207#120—21no—
1208#120—21no—
1209#120—1181no—
1210#120—1181no—
1211#120—1181no—
1212#120—1181no—
1213#120—1181no—
1214#120—1181no—
1215C4×Q8—591no—
1216C4×Q8—591no—
1217C4×Q8—591no—
1218C4×Q8—591no—
1219C4×Q8—591no—
1220C4×Q8—591no—
1221C4×D4—21no—
1222C4×D4—591no—
1223C4×D4—591no—
1224C4×D4—591no—
1225C4×D4—591no—
1226C4×D4—591no—
1227C4×D4—591no—
1228C4×D4—591no—
1229C4×D4—591no—
1230C4×D4—591no—
1231C4×D4—591no—
1232C4×D4—591no—
1233C4×D4—591no—
1234C4×D4—591no—
1235C4×D4—591no—
1236C4×D4—591no—
1237C4×D4—591no—
1238C4×D4—591no—
1239C4×D4—591no—
1240C4×D4—591no—
1241C4×D4—1181no—
1242C4×D4—1181no—
1243C4×D4—1181no—
1244C4×D4—1181no—
1245C4×D4—1181no—
1246C4×D4—1181no—
1247C4×D4—1181no—
1248C4×D4—1181no—
1249C4×D4—1181no—
1250C4×D4—1181no—
1251C4×D4—1181no—
1252C4×D4—1181no—
1253C4×D4—1181no—
1254C4×D4—1181no—
1255C4×D4—1181no—
1256C4×D4—1181no—
1257C4×D4—1181no—
1258C4×D4—1181no—
1259C4×D4—1181no—
1260C4×D4—1181no—
1261C4×D4—1181no—
1262C4×D4—1181no—
1263C4×D4—1181no—
1264C4×D4—1181no—
1265C4×D4—1181no—
1266C4×D4C22×D5911yescharacteristic
1267C4×D4C22×D5911yescharacteristic
1268C4×D4C22×D5911yescharacteristic
1269#117—591no—
1270#117—591no—
1271#117—591no—
1272#117—591no—
1273#117—1181no—
1274#117—1181no—
1275#117—1181no—
1276#117—1181no—
1277#117—1181no—
1278#117—1181no—
1279#117C22×D5911yescharacteristic
1280C2×C4⋊C4—591no—
1281C2×C4⋊C4—591no—
1282C2×C4⋊C4—591no—
1283C2×C4⋊C4—1181no—
1284C2×C4⋊C4—1181no—
1285C2×C4⋊C4C22×D5911yescharacteristic
1286C2×C22⋊C4—1181no—
1287C2×C22⋊C4—1181no—
1288C2×C22⋊C4—1181no—
1289C2×C22⋊C4—1181no—
1290C2×C22⋊C4—1181no—
1291C2×C22⋊C4—1181no—
1292C2×C22⋊C4—1181no—
1293C2×C22⋊C4—1181no—
1294C2×C42—591no—
1295C2×C42—591no—
1296C2×C42—591no—
1297C2×C42—1181no—
1298C2×C42—1181no—
1299#107—591no—
1300#107—591no—
1301#107—591no—
1302#107—591no—
1303#107—591no—
1304#107—591no—
1305#107—591no—
1306#107—591no—
1307#107—591no—
1308#107C22×D5911yescharacteristic
1309#106—591no—
1310#106—591no—
1311#106—591no—
1312#106—591no—
1313#106C22×D5911yescharacteristic
1314#106C22×D5911yescharacteristic
1315C4⋊C8—591no—
1316C4⋊C8—591no—
1317C4⋊C8—591no—
1318C4⋊C8—591no—
1319C4⋊C8—591no—
1320C4⋊C8C22×D5911yescharacteristic
1321#103—591no—
1322#103—591no—
1323#103—591no—
1324#103—591no—
1325#103—591no—
1326#103—591no—
1327#103—591no—
1328#103—591no—
1329#102—591no—
1330#102—591no—
1331#102—591no—
1332#102—591no—
1333#102—591no—
1334#102—591no—
1335#102—591no—
1336#102—591no—
1337#102—591no—
1338#102—591no—
1339#102—591no—
1340#102—591no—
1341#102—591no—
1342#102—591no—
1343#102C22×D5911yescharacteristic
1344#102C22×D5911yescharacteristic
1345#102C22×D5911yescharacteristic
1346#102C22×D5911yescharacteristic
1347#102C22×D5911yescharacteristic
1348#102C22×D5911yescharacteristic
1349#102C22×D5911yescharacteristic
1350#102C22×D5911yescharacteristic
1351#102C22×D5911yescharacteristic
1352#102C22×D5911yescharacteristic
1353C22⋊C8—591no—
1354C22⋊C8—591no—
1355C22⋊C8—591no—
1356C22⋊C8—591no—
1357C22⋊C8C22×D5911yescharacteristic
1358C22⋊C8C22×D5911yescharacteristic
1359#97—591no—
1360#97—591no—
1361#97—591no—
1362#97C22×D5911yescharacteristic
1363C4×C8—591no—
1364C4×C8—591no—
1365C4×C8—591no—
1366C4×C8—591no—
1367C4×C8—591no—
1368C4×C8—591no—
1369C24—21no—
1370C24—21no—
1371C24—1181no—
1372C24—1181no—
1373#41—1182no—
1374#41—1182no—
1375#41—4722no—
1376#41—4722no—
1377#41—2361no—
1378#41—2362no—
1379#41—2361no—
1380C2×Q8—591no—
1381C2×Q8—591no—
1382C2×Q8—591no—
1383C2×Q8—1181no—
1384C2×Q8—1181no—
1385C2×D4—22no—
1386C2×D4—22no—
1387C2×D4—21no—
1388C2×D4—21no—
1389C2×D4—21no—
1390C2×D4—21no—
1391C2×D4—21no—
1392C2×D4—21no—
1393C2×D4—21no—
1394C2×D4—21no—
1395C2×D4—41no—
1396C2×D4—41no—
1397C2×D4—44no—
1398C2×D4—591no—
1399C2×D4—591no—
1400C2×D4—591no—
1401C2×D4—591no—
1402C2×D4—1182no—
1403C2×D4—1181no—
1404C2×D4—1181no—
1405C2×D4—1181no—
1406C2×D4—1181no—
1407C2×D4—1182no—
1408C2×D4—1181no—
1409C2×D4—1181no—
1410C2×D4—1181no—
1411C2×D4—1181no—
1412C2×D4—1181no—
1413C2×D4—1181no—
1414C2×D4—2361no—
1415C2×D4—2361no—
1416C2×D4—2364no—
1417C2×D4D4×D5911yescharacteristic
1418C2×D4C23×D5911yescharacteristic
1419C2×D4C23×D5911yescharacteristic
1420C2×D4C23×D5911yescharacteristic
1421C2×D4C23×D5911yescharacteristic
1422C22×C4—21no—
1423C22×C4—21no—
1424C22×C4—21no—
1425C22×C4—591no—
1426C22×C4—591no—
1427C22×C4—591no—
1428C22×C4—591no—
1429C22×C4—591no—
1430C22×C4—591no—
1431C22×C4—591no—
1432C22×C4—1181no—
1433C22×C4—1181no—
1434C22×C4—1181no—
1435C22×C4—1181no—
1436C22×C4—1181no—
1437C22×C4—1181no—
1438C22×C4—1181no—
1439C22×C4—1181no—
1440C22×C4—1181no—
1441C22×C4—1181no—
1442C22×C4—1181no—
1443C22×C4—1181no—
1444C22×C4—1181no—
1445C22×C4—1181no—
1446C22×C4—1181no—
1447C22×C4—1181no—
1448C22×C4—1181no—
1449C22×C4—1181no—
1450C22×C4—1181no—
1451C22×C4—4722no—
1452C22×C4—4722no—
1453C22×C4—4722no—
1454C22×C4—4722no—
1455C22×C4C23×D5911yescharacteristic
1456C22×C4C23×D5911yescharacteristic
1457Q16—2361no—
1458SD16—1182no—
1459SD16—1182no—
1460SD16—1182no—
1461SD16—1182no—
1462SD16—2361no—
1463SD16—2361no—
1464D8—22no—
1465D8—41no—
1466D8—41no—
1467D8—594no—
1468D8—1182no—
1469D8—1182no—
1470D8—1182no—
1471D8—1182no—
1472D8—2361no—
1473M16—41no—
1474M16—1182no—
1475M16—1182no—
1476M16—2361no—
1477C2×C8—41no—
1478C2×C8—591no—
1479C2×C8—591no—
1480C2×C8—591no—
1481C2×C8—591no—
1482C2×C8—1182no—
1483C2×C8C23×D5911yescharacteristic
1484C2×C8C23×D5911yescharacteristic
1485C2×C8C23×D5911yescharacteristic
1486C2×C8C23×D5911yescharacteristic
1487C4⋊C4—21no—
1488C4⋊C4—21no—
1489C4⋊C4—21no—
1490C4⋊C4—591no—
1491C4⋊C4—591no—
1492C4⋊C4—591no—
1493C4⋊C4—591no—
1494C4⋊C4—591no—
1495C4⋊C4—591no—
1496C4⋊C4—591no—
1497C4⋊C4—591no—
1498C4⋊C4—591no—
1499C4⋊C4—1181no—
1500C4⋊C4—1181no—
1501C4⋊C4—1181no—
1502C4⋊C4—1181no—
1503C4⋊C4—1181no—
1504C4⋊C4—1181no—
1505C4⋊C4—1181no—
1506C4⋊C4—1181no—
1507C4⋊C4—1181no—
1508C4⋊C4—1181no—
1509C4⋊C4—1181no—
1510C4⋊C4—1181no—
1511C4⋊C4—1181no—
1512C4⋊C4—1181no—
1513C4⋊C4—1181no—
1514C4⋊C4—1181no—
1515C4⋊C4—1181no—
1516C4⋊C4—1181no—
1517C4⋊C4—1181no—
1518C4⋊C4D4×D5911yescharacteristic
1519C4⋊C4C23×D5911yescharacteristic
1520C4⋊C4C23×D5911yescharacteristic
1521C4⋊C4C23×D5911yescharacteristic
1522C4⋊C4C23×D5911yescharacteristic
1523C22⋊C4—21no—
1524C22⋊C4—21no—
1525C22⋊C4—21no—
1526C22⋊C4—21no—
1527C22⋊C4—21no—
1528C22⋊C4—21no—
1529C22⋊C4—21no—
1530C22⋊C4—591no—
1531C22⋊C4—591no—
1532C22⋊C4—591no—
1533C22⋊C4—591no—
1534C22⋊C4—1181no—
1535C22⋊C4—1181no—
1536C22⋊C4—1181no—
1537C22⋊C4—1181no—
1538C22⋊C4—1181no—
1539C22⋊C4—1181no—
1540C22⋊C4—1181no—
1541C22⋊C4—1181no—
1542C22⋊C4—1181no—
1543C22⋊C4—1181no—
1544C22⋊C4—1181no—
1545C22⋊C4—1181no—
1546C22⋊C4—1181no—
1547C22⋊C4—1181no—
1548C22⋊C4—1181no—
1549C22⋊C4—1181no—
1550C22⋊C4—1181no—
1551C22⋊C4—1181no—
1552C22⋊C4—1181no—
1553C22⋊C4—1181no—
1554C22⋊C4—1181no—
1555C22⋊C4—1181no—
1556C22⋊C4—1181no—
1557C22⋊C4—1181no—
1558C22⋊C4—1181no—
1559C22⋊C4—1181no—
1560C22⋊C4—1181no—
1561C22⋊C4—1181no—
1562C22⋊C4—1181no—
1563C22⋊C4—1181no—
1564C22⋊C4—1181no—
1565C22⋊C4D4×D5911yescharacteristic
1566C22⋊C4D4×D5911yescharacteristic
1567C42—21no—
1568C42—591no—
1569C42—591no—
1570C42—591no—
1571C42—591no—
1572C42—591no—
1573C42—591no—
1574C42—591no—
1575C42—591no—
1576C42—591no—
1577C42—1181no—
1578C42—1181no—
1579C42—1181no—
1580C42—1181no—
1581C42—1181no—
1582C42C23×D5911yescharacteristic
1583C23—21no—
1584C23—21no—
1585C23—21no—
1586C23—21no—
1587C23—42no—
1588C23—42no—
1589C23—42no—
1590C23—42no—
1591C23—81no—
1592C23—81no—
1593C23—591no—
1594C23—1181no—
1595C23—1181no—
1596C23—4721no—
1597C23—4721no—
1598C23—2362no—
1599C23—2362no—
1600C23—2362no—
1601C23—2362no—
1602C23C2×D4×D5911yescharacteristic
1603C23C2×D4×D5911yescharacteristic
1604Q8—1181no—
1605Q8—1181no—
1606Q8—1181no—
1607Q8—1181no—
1608Q8—4721no—
1609Q8—4721no—
1610Q8—2361no—
1611D4—22no—
1612D4—21no—
1613D4—21no—
1614D4—21no—
1615D4—21no—
1616D4—21no—
1617D4—21no—
1618D4—21no—
1619D4—42no—
1620D4—42no—
1621D4—42no—
1622D4—42no—
1623D4—42no—
1624D4—42no—
1625D4—81no—
1626D4—81no—
1627D4—592no—
1628D4—1182no—
1629D4—1181no—
1630D4—1181no—
1631D4—1181no—
1632D4—4721no—
1633D4—4721no—
1634D4—4721no—
1635D4—4721no—
1636D4—2362no—
1637D4—2362no—
1638D4—2361no—
1639D4—2362no—
1640D4—2362no—
1641D4—2362no—
1642D4—2362no—
1643D4#41×D5912yes—
1644C2×C4—21no—
1645C2×C4—21no—
1646C2×C4—21no—
1647C2×C4—21no—
1648C2×C4—21no—
1649C2×C4—21no—
1650C2×C4—21no—
1651C2×C4—21no—
1652C2×C4—42no—
1653C2×C4—81no—
1654C2×C4—81no—
1655C2×C4—591no—
1656C2×C4—591no—
1657C2×C4—591no—
1658C2×C4—591no—
1659C2×C4—591no—
1660C2×C4—591no—
1661C2×C4—591no—
1662C2×C4—1182no—
1663C2×C4—1182no—
1664C2×C4—1182no—
1665C2×C4—1182no—
1666C2×C4—1181no—
1667C2×C4—1181no—
1668C2×C4—1181no—
1669C2×C4—1181no—
1670C2×C4—1181no—
1671C2×C4—1181no—
1672C2×C4—1181no—
1673C2×C4—1181no—
1674C2×C4—4721no—
1675C2×C4—4721no—
1676C2×C4—4721no—
1677C2×C4—4721no—
1678C2×C4—4721no—
1679C2×C4—4721no—
1680C2×C4—4721no—
1681C2×C4—4721no—
1682C2×C4—4721no—
1683C2×C4—4721no—
1684C2×C4—2361no—
1685C2×C4—2362no—
1686C2×C4—2362no—
1687C2×C4—2362no—
1688C2×C4—2362no—
1689C2×C4—2362no—
1690C2×C4—2362no—
1691C2×C4—2362no—
1692C2×C4—2362no—
1693C2×C4—2361no—
1694C2×C4—2362no—
1695C2×C4C2×D4×D5911yescharacteristic
1696C2×C4C2×D4×D5911yescharacteristic
1697C2×C4C2×D4×D5911yescharacteristic
1698C2×C4C2×D4×D5911yescharacteristic
1699C2×C4C24×D5911yescharacteristic
1700C8—21no—
1701C8—21no—
1702C8—21no—
1703C8—21no—
1704C8—592no—
1705C8—1181no—
1706C8—1181no—
1707C8—1181no—
1708C22—21no—
1709C22—21no—
1710C22—21no—
1711C22—21no—
1712C22—21no—
1713C22—22no—
1714C22—41no—
1715C22—41no—
1716C22—41no—
1717C22—41no—
1718C22—41no—
1719C22—41no—
1720C22—41no—
1721C22—41no—
1722C22—41no—
1723C22—41no—
1724C22—41no—
1725C22—84no—
1726C22—84no—
1727C22—1181no—
1728C22—1181no—
1729C22—1181no—
1730C22—1182no—
1731C22—4724no—
1732C22—4724no—
1733C22—2361no—
1734C22—2361no—
1735C22—2361no—
1736C22—2361no—
1737C22—2361no—
1738C22#1683819812yes—
1739C22C22×D4×D5911yescharacteristic
1740C4—21no—
1741C4—21no—
1742C4—21no—
1743C4—21no—
1744C4—41no—
1745C4—41no—
1746C4—41no—
1747C4—41no—
1748C4—592no—
1749C4—1181no—
1750C4—1181no—
1751C4—1181no—
1752C4—1181no—
1753C4—1181no—
1754C4—1181no—
1755C4—2361no—
1756C4—2361no—
1757C4—2361no—
1758C4—2361no—
1759C4—2361no—
1760C4—2361no—
1761C4C2×#41×D5911yescharacteristic
1762C4#1683823711yescharacteristic
1763C2—22no—
1764C2—41no—
1765C2—42no—
1766C2—81no—
1767C2—81no—
1768C2—81no—
1769C2—4721no—
1770C2—2361no—
1771C2—2362no—
1772C2#2143758011yescharacteristic
1773C2C2×#1683819811yescharacteristic
1774C2#576×D5911yescharacteristic
subgroupG/H
centerC22C22×D4×D59
commutator, cosocleC2×C4×C59C25
FrattiniC2×C4C24×D59
FittingC59×#3318C2
socleC22×C59C23×D4
hypercenter#3318D59
hypocenterC59#61444
LCSG ▷ C2×C4×C59 ▷ C2×C59 ▷ C59
UCSC1 ◁ C22 ◁ C4×D4 ◁ #3318

Complements

Splittings G = N ⋊ H with N normal; H ≅ G/N.

NH ≅ G/Ntype
1. #21437703C2semidirect
2. #21437697C2semidirect
3. #21437179C2semidirect
4. #21437053C2semidirect
5. #21436854C2semidirect
6. #21436844C2semidirect
7. #21436695C2semidirect
8. #21436581C2semidirect
9. #21436579C2semidirect
10. #21436293C2semidirect
11. #21436292C2semidirect
12. #21436243C2semidirect
13. #21436179C2semidirect
14. #21436173C2semidirect
15. #21435707C2semidirect
16. #21435572C2semidirect
17. #21435569C2semidirect
18. #21434690C2semidirect
19. #21434686C2semidirect
20. #21434661C2semidirect
21. #21434140C2semidirect
22. #21434138C2semidirect
23. #21434119C2semidirect
24. #21434109C2semidirect
25. #21434095C2semidirect
26. #21434091C2semidirect
27. #21433056C2semidirect
28. #21432907C2semidirect
29. #21432900C2semidirect
30. C2×#16837482C2semidirect
31. C59×#3318C2semidirect
35. #16838138C22semidirect
36. #16838135C22semidirect
37. #16838109C22semidirect
38. #16838109C22semidirect
39. #16838108C22semidirect
40. #16838107C22semidirect
43. #16838104C22semidirect
45. #16838096C22semidirect
50. #16838049C22semidirect
54. #16838046C22semidirect
56. #16838036C22semidirect
57. #16837950C22semidirect
58. #16837947C22semidirect
59. #16837937C22semidirect
62. #16837933C22semidirect
63. #16837933C22semidirect
64. #16837933C22semidirect
69. #16837870C22semidirect
71. C4×#11745687C22semidirect
73. C2×D4×Dic59C22semidirect
74. C2×D4×Dic59C22semidirect
75. C2×#14273689C22semidirect
77. C4×D4×D59C22semidirect
78. #16837812C22semidirect
79. #16837809C22semidirect
80. #16837803C22semidirect
81. #16837790C22semidirect
82. #16837789C22semidirect
83. #16837785C22semidirect
84. #16837765C22semidirect
85. #16837762C22semidirect
86. #16837760C22semidirect
87. #16837755C22semidirect
88. #16837755C22semidirect
89. #16837746C22semidirect
90. #16837743C22semidirect
91. #16837738C22semidirect
92. #16837737C22semidirect
93. #16837729C22semidirect
94. #16837718C22semidirect
95. #16837716C22semidirect
96. #16837714C22semidirect
97. #16837714C22semidirect
98. #16837713C22semidirect
99. #16837712C22semidirect
100. #16837706C22semidirect
101. #16837705C22semidirect
102. #16837701C22semidirect
103. #16837701C22semidirect
104. #16837700C22semidirect
105. #16837700C22semidirect
106. #16837683C22semidirect
107. #16837682C22semidirect
108. #16837680C22semidirect
109. #16837680C22semidirect
110. #16837654C22semidirect
111. #16837654C22semidirect
112. #16837653C22semidirect
113. #16837648C22semidirect
114. #16837647C22semidirect
115. #16837647C22semidirect
116. #16837646C22semidirect
117. #16837643C22semidirect
118. #16837629C22semidirect
119. #16837629C22semidirect
120. #16837625C22semidirect
121. #16837623C22semidirect
122. #16837617C22semidirect
123. #16837616C22semidirect
124. #16837616C22semidirect
125. #16837616C22semidirect
126. #16837615C22semidirect
127. #16837615C22semidirect
129. #16837595C22semidirect
131. #16837566C22semidirect
132. #16837565C22semidirect
133. #16837555C22semidirect
134. #16837553C22semidirect
137. #16837536C22semidirect
139. #16837534C22semidirect
140. #16837534C22semidirect
141. #16837531C22semidirect
142. #16837530C22semidirect
145. #16837511C22semidirect
146. #16837504C22semidirect
147. #16837502C22semidirect
148. #16837499C22semidirect
149. #16837499C22semidirect
150. #16837496C22semidirect
151. #16837493C22semidirect
152. #16837493C22semidirect
153. #16837493C22semidirect
154. #16837493C22semidirect
155. #16837489C22semidirect
156. #16837489C22semidirect
157. D8×Dic59C22semidirect
158. D8×Dic59C22semidirect
159. D8×Dic59C22semidirect
162. #16837482C22semidirect
163. #16837482C22semidirect
164. #16837482C22semidirect
165. #16837482C22semidirect
166. #16837482C22semidirect
167. #16837482C22semidirect
168. #16837482C22semidirect
169. #16837482C22semidirect
170. #16837478C22semidirect
171. #16837477C22semidirect
172. #16837474C22semidirect
173. #16837473C22semidirect
174. #16837470C22semidirect
175. #16837454C22semidirect
176. #16837452C22semidirect
177. #16837452C22semidirect
178. #16837445C22semidirect
179. #16837441C22semidirect
180. C2×#14273660C22semidirect
181. #16837405C22semidirect
182. #16837404C22semidirect
183. #16837400C22semidirect
184. C2×#14273649C22semidirect
185. #16837354C22semidirect
186. M16×Dic59C22semidirect
187. C2×C8×Dic59C22semidirect
189. D42×C59C22semidirect
190. C59×#490C22semidirect
191. C59×#482C22semidirect
192. C59×#481C22semidirect
193. C59×#478C22semidirect
194. C59×#469C22semidirect
196. C59×#459C22semidirect
198. C59×#447C22semidirect
199. C59×#442C22semidirect
200. C59×#435C22semidirect
201. C59×#418C22semidirect
202. C2×#102×C59C22semidirect
627. #11745669#41semidirect
888. #3318D59semidirect
945. D42C2×D59semidirect
974. #490C2×D59semidirect
984. #482C2×D59semidirect
986. #481C2×D59semidirect
998. #478C2×D59semidirect
1006. #469C2×D59semidirect
1026. #459C2×D59semidirect
1038. #447C2×D59semidirect
1044. #442C2×D59semidirect
1074. #435C2×D59semidirect
1082. #418C2×D59semidirect
1086. C2×#102C2×D59semidirect
1090. C59#61444semidirect

Maximal subgroups

By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.

subgroupindex
#214377032
#214376972
#214371792
#214370532
#214368542
#214368442
#214366952
#214365812
#214365792
#214362932
#214362922
#214362432
#214361792
#214361732
#214357072
#214355722
#214355692
#214346902
#214346862
#214346612
#214341402
#214341382
#214341192
#214341092
#214340952
#214340912
#214330562
#214329072
#214329002
C2×#168374822
C59×#33182
#6144459